76201617003113 has 16 divisors (see below), whose sum is σ = 87127488000000. Its totient is φ = 65285733723792.

The previous prime is 76201617003079. The next prime is 76201617003131. The reversal of 76201617003113 is 31130071610267.

It is a cyclic number.

It is not a de Polignac number, because 76201617003113 - 2¹² = 76201616999017 is a prime.

It is a super-3 number, since 3×76201617003113³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (76201617003163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147851138 + ... + 148365636.

It is an arithmetic number, because the mean of its divisors is an integer number (5445468000000).

Almost surely, 2^{76201617003113} is an apocalyptic number.

It is an amenable number.

76201617003113 is a deficient number, since it is larger than the sum of its proper divisors (10925870996887).

76201617003113 is a wasteful number, since it uses less digits than its factorization.

76201617003113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524164.

The product of its (nonzero) digits is 31752, while the sum is 38.

The spelling of 76201617003113 in words is "seventy-six trillion, two hundred one billion, six hundred seventeen million, three thousand, one hundred thirteen".